Finding the Fourth Proportional to 10,707,203,319,516, 14,775,990,618,704 and 6,082,949,215,057.90
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Solution
The fourth proportional to 10,707,203,319,516, 14,775,990,618,704 and 6,082,949,215,057.90 is: 8,394,498,344,112.08
Step by Step Solution
- Step 1: Write the proportion equation
10,707,203,319,516 : 14,775,990,618,704 = 6,082,949,215,057.90 : x - Step 2: Convert to fraction form
10,707,203,319,516/14,775,990,618,704 = 6,082,949,215,057.90/x - Step 3: Cross multiply
10,707,203,319,516x = 14,775,990,618,704 × 6,082,949,215,057.90 - Step 4: Simplify right side
10,707,203,319,516x = 89,881,600,535,748,394,648,338,432 - Step 5: Solve for x
x = 89,881,600,535,748,394,648,338,432/10,707,203,319,516 - Step 6: Final answer
x = 8,394,498,344,112.08
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.